关于希尔伯特空间中度量投影算子的严格弗雷谢特可微分性的一些结果

IF 1.6 3区数学 Q2 MATHEMATICS, APPLIED

Optimization Pub Date : 2024-08-12 DOI:10.1080/02331934.2024.2389243

Le Van Hien

引用次数: 0

摘要

在本文中，我们首先提出了一个关于在希尔伯特空间中以原点为中心的闭球上的度量投影算子的严格弗雷谢特可微分性的结果的较简单证明，该证明...

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Some results on the strict Fréchet differentiability of the metric projection operator in Hilbert spaces

In this paper, we first present a simpler proof of a result on the strict Fréchet differentiability of the metric projection operator onto closed balls centred at the origin in Hilbert spaces, whic...

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Optimization 数学-应用数学

CiteScore

4.50

自引率

9.10%

发文量

146

审稿时长

4.5 months

期刊介绍： Optimization publishes refereed, theoretical and applied papers on the latest developments in fields such as linear, nonlinear, stochastic, parametric, discrete and dynamic programming, control theory and game theory. A special section is devoted to review papers on theory and methods in interesting areas of mathematical programming and optimization techniques. The journal also publishes conference proceedings, book reviews and announcements. All published research articles in this journal have undergone rigorous peer review, based on initial editor screening and anonymous refereeing by independent expert referees.